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arXiv · 2203.11928

Recursive Averaging with Application to Bio-Inspired 3D Source Seeking

Mahmoud Abdelgalil·Haithem Taha
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Abstract

We analyze a class of high-amplitude, high-frequency oscillatory systems in which periodicity occurs on two distinct time scales and establish the convergence of its trajectories to a suitably averaged system by recursively applying the averaging theorem. Moreover, we introduce a novel bio-inspired 3D source seeking algorithm for rigid bodies with a collocated sensor and prove its practical stability under typical assumptions on the source signal strength field by combining our averaging results with singular perturbation.

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Mahmoud Abdelgalil, Haithem Taha. 2022-03-22. Recursive Averaging with Application to Bio-Inspired 3D Source Seeking. https://arxiv.org/abs/2203.11928

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